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A256360 Numbers that are multiple-digit narcissistic numbers in exactly one base. 9
5, 8, 10, 13, 18, 20, 25, 26, 32, 35, 37, 40, 41, 43, 52, 53, 55, 58, 61, 62, 65, 68, 72, 80, 82, 83, 90, 92, 97, 98, 99, 101, 104, 109, 113, 117, 118, 122, 127, 128, 134, 146, 148, 152, 162, 170, 173, 178, 180, 181, 185, 190, 197, 205, 221, 225 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A258273 for the corresponding bases.

LINKS

Tim Johannes Ohrtmann, Table of n, a(n) for n = 1..49479

W. Schneider, Perfect Digital Invariants: Pluperfect Digital Invariants(PPDIs)

Eric Weisstein's World of Mathematics, Narcissistic Number

Wikipedia, Narcissistic number

EXAMPLE

a(1) = 5 because this is the first number that is a multiple-digit narcissistic number in exactly one base (3).

PROG

(PARI) for(n=3, 1000000, k=0; for(z=2, n, y=n; j=0; L=List(); until(y==0, x=y%z; j++; listinsert(L, x, j); while(!((y%z)==0), y--); y=y/z); t=0; for(p=1, j, t+=L[p]^j); if(n==t, k++)); if(k==1, print1(n, ", ")))

CROSSREFS

Cf. A005188.

Cf. A256359 (every number of bases).

Cf. A256361, A256362, A256363, A256364, A256365 (2 to 6 bases).

Cf. A256459 (first occurrences).

Sequence in context: A022160 A022158 A032717 * A205676 A352676 A098594

Adjacent sequences:  A256357 A256358 A256359 * A256361 A256362 A256363

KEYWORD

nonn,base

AUTHOR

Tim Johannes Ohrtmann, Mar 26 2015

STATUS

approved

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Last modified May 17 19:51 EDT 2022. Contains 353778 sequences. (Running on oeis4.)